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Finding the Fourth Proportional to 7,691.76, 11,523.47 and 4,562.73

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Solution

The fourth proportional to 7,691.76, 11,523.47 and 4,562.73 is: 6,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.76 : 11,523.47 = 4,562.73 : x
  2. Step 2: Convert to fraction form
    7,691.76/11,523.47 = 4,562.73/x
  3. Step 3: Cross multiply
    7,691.76x = 11,523.47 × 4,562.73
  4. Step 4: Simplify right side
    7,691.76x = 52,578,459.46
  5. Step 5: Solve for x
    x = 52,578,459.46/7,691.76
  6. Step 6: Final answer
    x = 6,835.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.